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Progressive Overload and Strength Gains

Hi guys,

I have a question which bothers me for some weeks. Its regarding progressive overload.
Were is the difference of increasing the weight when you got stronger compared to increasing the weight on its own?

Example 1:
Benching 1x8 with 100kg. Next time I feel stronger and I am able to bench 105kg for 1x8. A PR and progressive overload.

Example 2:
Benching 1x8 with 100kg. Next time I also want to apply progressive overload but get: 105x5 and 105x3.
I was able to get the total 8 reps in two sets with more weight but its no PR.

Were is the difference here in regard to muscle building and strength gains? What does this different results tell us?

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